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arXiv · hep-th/9706159

Equivalent bosonic theory for the massive Thirring model with non-local interaction

Kang Li·Carlos Naon
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Abstract

We study, through path-integral methods, an extension of the massive Thirring model in which the interaction between currents is non-local. By examining the mass-expansion of the partition function we show that this non-local massive Thirring model is equivalent to a certain non-local extension of the sine-Gordon theory. Thus, we establish a non-local generalization of the famous Coleman's equivalence. We also discuss some possible applications of this result in the context of one-dimensional strongly correlated systems and finite-size Quantum Field Theories.

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Kang Li, Carlos Naon. 1997-06-23. Equivalent bosonic theory for the massive Thirring model with non-local interaction. https://doi.org/10.1088/0305-4470%2F31%2F39%2F009

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